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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 406 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of 7³? =
  2. 2.Write 8.6 × 10⁻⁴ as a decimal. =
  3. 3.What is the value of 2¹²? =
  4. 4.What is the value of 5⁶? =
  5. 5.Write 8.2 × 10⁻³ as a decimal. =
  6. 6.7.8 × 10³ =
  7. 7.What is the value of 3⁻⁶ (as a fraction)? =
  8. 8.Write (8⁵)³ as a single power 8ⁿ. What is n?
  9. 9.What is the value of 5⁵ × 5⁻²? =
  10. 10.What is the value of 5⁻⁴ (as a fraction)? =
  11. 11.What is the value of 2⁴? =
  12. 12.What is the value of 5¹ × 5⁻⁶? =
  13. 13.What is the value of 2³? =
  14. 14.What is the value of 10¹ × 10⁻⁴? =
  15. 15.Write (4⁶)⁷ as a single power 4ⁿ. What is n?
  16. 16.What is the value of 9⁵? =
  17. 17.Write 6⁸ ÷ 6³ as a single power 6ⁿ. What is n?
  18. 18.What is the value of 9⁻² (as a fraction)? =
  19. 19.What is the value of 10² × 10⁻⁶? =
  20. 20.What is the value of 7⁵? =
  21. 21.Write 5.7 × 10⁻³ as a decimal. =
  22. 22.What is the value of 2⁻³ (as a fraction)? =
  23. 23.What is the value of 3⁴ × 3⁻⁶? =
  24. 24.Write 3,60,000 in standard form as 3.6 × 10ⁿ. What is n?
  25. 25.What is the value of 10⁴ × 10⁻²? =
  26. 26.What is the value of 2² × 2⁻²? =
  27. 27.Write (8⁹)⁵ as a single power 8ⁿ. What is n?
  28. 28.What is the value of 2²? =
  29. 29.7.1 × 10⁵ =
  30. 30.Write 9⁸ × 9⁵ as a single power 9ⁿ. What is n?
  31. 31.What is the value of 3³? =
  32. 32.Write (4⁷)² as a single power 4ⁿ. What is n?
  33. 33.Write 3.7 × 10⁻¹ as a decimal. =
  34. 34.What is the value of 2¹ × 2⁻⁵? =
  35. 35.What is the value of 2⁹? =
  36. 36.What is the value of 3¹⁰? =
  37. 37.What is the value of 10² × 10⁻⁴? =
  38. 38.2.2 × 10² =
  39. 39.What is the value of 10² × 10⁻⁵? =
  40. 40.What is the value of 3³ × 3⁻³? =

Answer key

  1. 343
  2. 0.00086
  3. 4096
  4. 15625
  5. 0.0082
  6. 7800
  7. 1/729
  8. 15
  9. 125
  10. 1/625
  11. 16
  12. 1/3125
  13. 8
  14. 1/1000
  15. 42
  16. 59049
  17. 5
  18. 1/81
  19. 1/10000
  20. 16807
  21. 0.0057
  22. 1/8
  23. 1/9
  24. 5
  25. 100
  26. 1
  27. 45
  28. 4
  29. 710000
  30. 13
  31. 27
  32. 14
  33. 0.37
  34. 1/16
  35. 512
  36. 59049
  37. 1/100
  38. 220
  39. 1/1000
  40. 1

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